Filters and games
HTML articles powered by AMS MathViewer
- by Tomek Bartoszyński and Marion Scheepers
- Proc. Amer. Math. Soc. 123 (1995), 2529-2534
- DOI: https://doi.org/10.1090/S0002-9939-1995-1249868-8
- PDF | Request permission
Abstract:
We obtain game-theoretic characterizations for meagerness and rareness of filters on $\omega$.References
- Jaime I. Ihoda, Unbounded filters on $\omega$, Logic Colloquium ’87 (Granada, 1987) Stud. Logic Found. Math., vol. 129, North-Holland, Amsterdam, 1989, pp. 105–115. MR 1015306, DOI 10.1016/S0049-237X(08)70126-5
- Kenneth Kunen, Some points in $\beta N$, Math. Proc. Cambridge Philos. Soc. 80 (1976), no. 3, 385–398. MR 427070, DOI 10.1017/S0305004100053032
- Michel Talagrand, Filtres: mesurabilité, rapidité, propriété de Baire forte, Studia Math. 74 (1982), no. 3, 283–291 (French). MR 683750, DOI 10.4064/sm-74-3-283-291
Bibliographic Information
- © Copyright 1995 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 123 (1995), 2529-2534
- MSC: Primary 90D44; Secondary 03E05, 03E15, 04A15, 04A20
- DOI: https://doi.org/10.1090/S0002-9939-1995-1249868-8
- MathSciNet review: 1249868